Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376t |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
-78133449392128 = -1 · 216 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 4 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10309,-136214] |
[a1,a2,a3,a4,a6] |
Generators |
[17355:249106:125] |
Generators of the group modulo torsion |
j |
6128487/3952 |
j-invariant |
L |
6.4691731885944 |
L(r)(E,1)/r! |
Ω |
0.34945518532147 |
Real period |
R |
4.6280420639475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6422e1 3952d1 |
Quadratic twists by: -4 13 |